Finding the Fourth Proportional to 1,167.08, 1,749.69 and 800.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.08 : 1,749.69 = 800.78 : x
2. Step 2: Convert to fraction form
   1,167.08/1,749.69 = 800.78/x
3. Step 3: Cross multiply
   1,167.08x = 1,749.69 × 800.78
4. Step 4: Simplify right side
   1,167.08x = 1,401,108.01
5. Step 5: Solve for x
   x = 1,401,108.01/1,167.08
6. Step 6: Final answer
   x = 1,200.53